Atkin-Lehner |
2- 3+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
30450bz |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
-124723200000000 = -1 · 219 · 3 · 58 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 5 -1 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3662,532031] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-813:1] |
Generators of the group modulo torsion |
j |
347577210791/7982284800 |
j-invariant |
L |
7.4528382671587 |
L(r)(E,1)/r! |
Ω |
0.44007733160658 |
Real period |
R |
0.44566558814553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91350bg1 6090l1 |
Quadratic twists by: -3 5 |